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Finding the Fourth Proportional to 9,886.32, 13,632.84 and 8,474.76

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Solution

The fourth proportional to 9,886.32, 13,632.84 and 8,474.76 is: 11,686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.32 : 13,632.84 = 8,474.76 : x
  2. Step 2: Convert to fraction form
    9,886.32/13,632.84 = 8,474.76/x
  3. Step 3: Cross multiply
    9,886.32x = 13,632.84 × 8,474.76
  4. Step 4: Simplify right side
    9,886.32x = 115,535,047.12
  5. Step 5: Solve for x
    x = 115,535,047.12/9,886.32
  6. Step 6: Final answer
    x = 11,686.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.